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Akimi4 [234]
3 years ago
8

You have decided to start saving for college and open up a 529 account. You invest $5,000 into the account at a 2% interest rate

compounded monthly. How much money will you have after 5 years?
$5,520.40
$5,525.39
$6,744.25
$16,405.15
Mathematics
1 answer:
raketka [301]3 years ago
6 0

You will have $5,525.39 after 5 years.

Because the interest is compounded monthly, you need to convert the interest rate and the term of investment to a monthly basis.

Monthly interest = 2% / 12 = 2/12%

Term of investment = 5 x 12 = 60 months

To find the amount you will have in 5 years, use the formula:

<em>Future value = Amount * ( 1 + interest) ^ term of investment </em>

= 5,000 x ( 1 + 2/12%)⁶⁰

= $5,525.39

In conclusion, your investment will have compounded to $5,525.39 in 5 years.

<em>Find out more at brainly.com/question/3473483.</em>

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Question 3<br> BESED<br> what is the slope?<br> (-7,-4) (-14, 3)
Nadya [2.5K]

Slope= (Y2-Y1)/(X2-X1)

Slope=(3-(-4) ) /(-14-(-7) )

Slope= (3+4)/(-14+7)

Slope=7/-7

Slope= -1

6 0
2 years ago
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
3 years ago
Can u plz help me with this !!!
Sveta_85 [38]

Answer:

60

Step-by-step explanation:

10 + 5 = 15. 15/2 is 7.5. 7.5 times 8 is 60. The formula for the area of the trapezoid is (a+b)/2 x h.

5 0
2 years ago
Write the formula for calculating taxable income.
Harlamova29_29 [7]

Answer:

taxable income = adjusted income - (deductions + Allowances/Exemptions)

Step-by-step explanation:

Taxable income is the type of income on which a person has to pay tax to the government. Taxable Income is calculated by subtracting the deductions and exemptions from the adjustable income.

With deductions you can either have itemized deductions or standard deductions.

Standard deduction consist of deductions like if a couple is married then they will have the deductions and if there are dependents of a person then he will have a standard deduction.

Itemized deductions consist of mortgages values, medical expenses, charity works etc.

This will help us to find the value of our taxable income


8 0
2 years ago
HELP ME PLEASE!!!!!
katen-ka-za [31]

Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

6 0
2 years ago
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